We extend the scotogenic model proposed by Ma[1]} to be compatible with the \(U(1)_{B-3L_{\alpha }}\)  gauge symmetry. The particle content related to lepton mass generation is listed in Table.I. In the model, three RH fermion singlets \(N_{Ri}(i=1,2,3)\) 
and an inert scalar doublet field \(\eta \)  are added to the SM. Among three \(N_{R}\)  fields, one of them carries the same non-zero charge as SM lepton doublet \(L_\alpha \)  under \(U(1)_{B-3L_\alpha }\)  gauge symmetry. In addition to the SM Higgs field \(\Phi \) , a singlet scalar \(S\)  is added to develop the vacuum expectation value (VEV) \(v_S/\sqrt{2}\)  after the spontaneous breaking of \(U(1)_{B-3L_{\alpha }}\)  symmetry. The unbroken discrete \(Z_{2}\)  symmetry forbid the tree-level neutrino Yukawa interaction and assure the stability of DM.
In the original scotogenic model, the interactions relevant to lepton mass generation are given by
\(-\mathcal {L}~\supset ~ f_{\alpha \beta }\bar{L}_{\alpha }\Phi \ell _{\beta R}+h_{\alpha i}\bar{L}_{\alpha }\eta ^c N_{Ri}+\frac{M_{Nij}}{2} N_{Ri} N_{Rj}+\frac{1}{2}\lambda (\Phi ^\dagger \eta )^2+\textsl {h.c}.\) 
